A Simple Measure of Beta-Convergence Revisited

Gray, David (2021) A Simple Measure of Beta-Convergence Revisited. Urban Studies . ISSN 0042-0980

Documents
A Simple Measure of Beta-Convergence Revisited
Convergence among regions to long-run, non-zero income differentials is predicted by mainstream and alternative spatial theories. A variety of convergence, considered by Sala-i-Martin (1996), focuses on the rank order over time. As some must be growing faster than others, intra-distributional mobility implies convergence of regions. A measure of this due to Boyle and McCarthy (1997) is the trend in rank concordance. As it is a measure of similarity between a given distribution with other sample period’s, we propose that Kendall’s criterion ranking coefficient, combined with concordance, provides better insight into intra-distributional mobility and convergence. Agreement with a distribution can be traced over a series to highlight the mobility over time. This has the advantage of revealing whether mobility entails converging from, reverting to or converging to an order.

Request a copy
[img] Microsoft Word
GrayUSresub720.docx - Whole Document
Restricted to Repository staff only

111kB
Item Type:Article
Item Status:Live Archive

Abstract

Convergence among regions to long-run, non-zero income differentials is predicted by mainstream and alternative spatial theories. A variety of convergence, considered by Sala-i-Martin (1996), focuses on the rank order over time. As some must be growing faster than others, intra-distributional mobility implies convergence of regions. A measure of this due to Boyle and McCarthy (1997) is the trend in rank concordance. As it is a measure of similarity between a given distribution with other sample period’s, we propose that Kendall’s criterion ranking coefficient, combined with concordance, provides better insight into intra-distributional mobility and convergence. Agreement with a distribution can be traced over a series to highlight the mobility over time. This has the advantage of revealing whether mobility entails converging from, reverting to or converging to an order.
Although there are phases of sigma-convergence and divergence, what is found in an analysis of regional house prices is that the rank-order is little affected by cycle phase. In trend, the UK price distribution appears to converge to a hierarchy, corresponding better with a very large monocentric urban model or Zipf-type, than a core-periphery-type distribution of prices. The broadening of price spreads is likely to be facilitated by the liberalisation of finance seen elsewhere, and by an appetite holding for greater mortgage debt.

Keywords:Leapfrogging, House prices, Beta-convergence, Kendall’s criterion ranking coefficient
Subjects:L Social studies > L721 Economic Geography
L Social studies > L110 Applied Economics
K Architecture, Building and Planning > K450 Housing
Divisions:Lincoln International Business School
ID Code:42326
Deposited On:10 Sep 2020 15:01

Repository Staff Only: item control page